10991960 has 64 divisors (see below), whose sum is σ = 29056320. Its totient is φ = 3663360.

The previous prime is 10991951. The next prime is 10991983. The reversal of 10991960 is 6919901.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10991960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9830 + ... + 10890.

It is an arithmetic number, because the mean of its divisors is an integer number (454005).

Almost surely, 2^10991960 is an apocalyptic number.

10991960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528160).

10991960 is an abundant number, since it is smaller than the sum of its proper divisors (18064360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10991960 is a wasteful number, since it uses less digits than its factorization.

10991960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 35.

The square root of 10991960 is about 3315.4124931899. The cubic root of 10991960 is about 222.3438116081.

The spelling of 10991960 in words is "ten million, nine hundred ninety-one thousand, nine hundred sixty".